Finding the Fourth Proportional to 11,634.00, 16,048.40 and 7,156.87

Step by Step Solution

1. Step 1: Write the proportion equation
   11,634.00 : 16,048.40 = 7,156.87 : x
2. Step 2: Convert to fraction form
   11,634.00/16,048.40 = 7,156.87/x
3. Step 3: Cross multiply
   11,634.00x = 16,048.40 × 7,156.87
4. Step 4: Simplify right side
   11,634.00x = 114,856,326.87
5. Step 5: Solve for x
   x = 114,856,326.87/11,634.00
6. Step 6: Final answer
   x = 9,872.47